Finite Group Databasebeta

← Group #11864393

Character table — Group #11864393

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1122244444488888888889912121212121212121616181818242424242424242424242424363636363636484848487272
order1224423346666661212121212122222222244612244446666668812122488881212242444
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ511111-111-11111-1-111-1-111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ611111-111-11111-1-111-1-111111111-1-1-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111
χ711111-111-11111-1-111-1-11111-1-1-1-11111-1-111111-1-1-1-111-1-111-1-1-1-1-1-111-1-111
χ811111-111-11111-1-111-1-11111-1-1-1-11111-1-1111-1-1-1-1-1-1111111-1-11111-1-111-1-1
χ911-1-11111-111-1-1111-1-1-1-111111-1-11-11-11-1-1-111-111-1-11-11-11-11-111-1-11-11-11-1
χ1011-1-11111-111-1-1111-1-1-1-111111-1-11-11-11-1-1-11-1111-1-11-1-111-11-1-1-111-11-11-11
χ1111-1-11111-111-1-1111-1-1-1-1111-1-111-11-111-1-1-111-1-1-111-111-1-111-1-1-1111-11-1-11
χ1211-1-11111-111-1-1111-1-1-1-1111-1-111-11-111-1-1-11-11-1-111-11-11-111-111-1-1-11-111-1
χ1311-1-11-111111-1-1-1-11-111-111111-1-1-11-11-11-1-111-111-1-1-11-11-11-1111-1-11-1-11-11
χ1411-1-11-111111-1-1-1-11-111-111111-1-1-11-11-11-1-11-1111-1-1-111-1-11-11-1-111-111-11-1
χ1511-1-11-111111-1-1-1-11-111-1111-1-1111-11-1-11-1-111-1-1-1111-1-111-1-11-1-1111-1-111-1
χ1611-1-11-111111-1-1-1-11-111-1111-1-1111-11-1-11-1-11-11-1-1111-11-11-1-1111-1-1-111-1-11
χ17222222222222222222222-2-20000000022-2-2-2000000000000-2-20000000000
χ1822222-222-22222-2-222-2-222-2-200000000-2-2-2-2-2000000000000220000000000
χ19222-2-20220222200-2-200-2-22200002-2-22002-2-20000002-200-22000000000000
χ20222-2-20220222200-2-200-2-2220000-222-2002-2-2000000-22002-2000000000000
χ21222-2-20220222200-2-200-2-2-2-22-22-2000000-222002-22-2000000000000000000
χ22222-2-20220222200-2-200-2-2-2-2-22-22000000-22200-22-22000000000000000000
χ2322-22-2022022-2-200-22002-222000022-2-200-22-20000002200-2-2000000000000
χ2422-22-2022022-2-200-22002-2220000-2-22200-22-2000000-2-20022000000000000
χ2522-22-2022022-2-200-22002-2-2-22-2-220000002-22002-2-22000000000000000000
χ2622-22-2022022-2-200-22002-2-2-2-222-20000002-2200-222-2000000000000000000
χ2722-2-22222-222-2-2222-2-2-2-22-2-2000000002-222-2000000000000-220000000000
χ2822-2-22-222222-2-2-2-22-222-22-2-200000000-2222-20000000000002-20000000000
χ294444441-24-211-2-2-2-2-2-2-211000000000011000220000002200000000-1-1-1-100
χ304444441-24-211-2-2-2-2-2-2-211000000000011000-2-2000000-2-200000000111100
χ31444444-2141-2-21111111-2-20022222222-2-200000-1-1-1-1-1-100-1-1000000000000
χ32444444-2141-2-21111111-2-200-2-2-2-2-2-2-2-2-2-2000001111110011000000000000
χ3344444-41-2-4-211-222-2-222110000000000-1-100022000000-2-200000000-1-11100
χ3444444-41-2-4-211-222-2-222110000000000-1-1000-2-2000000220000000011-1-100
χ3544444-4-21-41-2-21-1-111-1-1-2-2002222-2-2-2-22200000-1-1-1-1110011000000000000
χ3644444-4-21-41-2-21-1-111-1-1-2-200-2-2-2-2222222000001111-1-100-1-1000000000000
χ37444-4-40-2101-2-213-3-1-13-322002-22-22-2-220000000-11-11-11001-1000000000000
χ38444-4-40-2101-2-213-3-1-13-32200-22-22-222-200000001-11-11-100-11000000000000
χ39444-4-40-2101-2-21-33-1-1-3322002-22-2-222-20000000-11-111-100-11000000000000
χ40444-4-40-2101-2-21-33-1-1-332200-22-222-2-2200000001-11-1-11001-1000000000000
χ4144-44-40-2101-22-13-3-11-33-22002-2-2222-2-20000000-111-1-1-10011000000000000
χ4244-44-40-2101-22-13-3-11-33-2200-222-2-2-22200000001-1-111100-1-1000000000000
χ4344-44-40-2101-22-1-33-113-3-22002-2-22-2-2220000000-111-11100-1-1000000000000
χ4444-44-40-2101-22-1-33-113-3-2200-222-222-2-200000001-1-11-1-10011000000000000
χ4544-4-4441-2-4-21-12-2-2-2222-1100000000001-10002-20000002-200000000-11-1100
χ4644-4-4441-2-4-21-12-2-2-2222-1100000000001-1000-22000000-22000000001-11-100
χ4744-4-444-21-41-22-1111-1-1-12-20022-2-22-22-2-2200000-1-111-1100-11000000000000
χ4844-4-444-21-41-22-1111-1-1-12-200-2-222-22-22-220000011-1-11-1001-1000000000000
χ4944-4-44-41-24-21-1222-22-2-2-110000000000-110002-2000000-2200000000-111-100
χ5044-4-44-41-24-21-1222-22-2-2-110000000000-11000-220000002-2000000001-1-1100
χ5144-4-44-4-2141-22-1-1-11-1112-20022-2-2-22-222-200000-1-1111-1001-1000000000000
χ5244-4-44-4-2141-22-1-1-11-1112-200-2-2222-22-22-20000011-1-1-1100-11000000000000
χ534-40000440-4-400000000004-4000000000000000000000000000002i2−2i2000000
χ544-40000440-4-400000000004-400000000000000000000000000000−2i22i2000000
χ554-40000440-4-40000000000-440000000000000000000000000002i2−2i200000000
χ564-40000440-4-40000000000-44000000000000000000000000000−2i22i200000000
χ57888-8-802-40-422-4004400-2-2000000000000000000000000000000000000000
χ5888-88-802-40-42-24004-4002-2000000000000000000000000000000000000000
χ5916-1600004-808-40000000000000000000000000000000000000000000000000
χ6016-160000-840-480000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).